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SMRE Homework 3 Simulation Modeling I 1 Consider a 2-out-of-3 system of independent and identical components with constant failure rate λ = 1. Use the inverse transform random variate generation technique together with the Monte Carlo simulation method to determine values of the reliability of the system as a function of time and compare against the exact solution. Do the problem using first the RAND() function in Excel then using the RAPTOR code and compare your results. 2 Use the inverse transform random variate generation technique together withthe Monte Carlo simulation method to determine the reliability in a system consisting of three components, 1,2,3 with Weibull failure probability distribution functions given as follows: F1 = 1 − exp(−t0.5 ) F2 = 1 − exp(−t) F3 = 1 − exp(−t5 ) a.- Investigate for 0 < t < 2 the case when the components are connected in series. b.- Investigate for 0 < t < 10 the case when the components are connected in parallel. Do the problem using first the RAND() function in Excel then using the RAPTOR code and compare your results. 1